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Finding the Third Proportional to 7,474.25 and 11,726.25

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Solution

The third proportional to 7,474.25 and 11,726.25 is: 18,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.25 : 11,726.25 = 11,726.25 : x
  2. Step 2: Convert to fraction form
    7,474.25/11,726.25 = 11,726.25/x
  3. Step 3: Cross multiply
    7,474.25x = 11,726.25 × 11,726.25
  4. Step 4: Simplify right side
    7,474.25x = 137,504,939.06
  5. Step 5: Solve for x
    x = 137,504,939.06/7,474.25
  6. Step 6: Final answer
    x = 18,397.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.